taytortaytums2006 taytortaytums2006
  • 14-02-2022
  • Mathematics
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In the rhombus m∠1 =106°. What are m∠2 and m∠3? The diagram is not drawn to scale.

In the rhombus m1 106 What are m2 and m3 The diagram is not drawn to scale class=

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jimrgrant1 jimrgrant1
  • 14-02-2022

Answer:

∠ 2 = 106° , ∠ 3 = 37°

Step-by-step explanation:

In a rhombus the opposite angles are congruent , then

∠ 2 = ∠ 1 = 106°

The lower triangle has 2 congruent sides and is isosceles with the 2 base angles being congruent , then

∠ 3 = [tex]\frac{180-106}{2}[/tex] = [tex]\frac{74}{2}[/tex] = 37°

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